1. **Problem statement:** Calculate the value of $4.15$ multiplied by $50$ or $6$ using a scale factor. 2. **Formula:** To find the scaled value, use the multiplication formula: $$\text{Scaled value} = \text{Original value} \times \text{Scale factor}$$ 3. **Step-by-step solution:** - Given original value: $4.15$ - Scale factors: $50$ or $6$ 4. Calculate for scale factor $50$: $$4.15 \times 50 = 207.5$$ 5. Calculate for scale factor $6$: $$4.15 \times 6 = 24.9$$ 6. **Explanation:** Multiplying $4.15$ by the scale factor gives the scaled measurement. This is a direct multiplication problem. **Final answers:** - For scale factor $50$, the scaled value is $207.5$ - For scale factor $6$, the scaled value is $24.9$